1 . 如图,该图象是下列四个函数中的某个函数的大致图象,则该函数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/a2f461b2-0f2a-4ec3-bc4f-292642be8f53.png?resizew=217)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/a2f461b2-0f2a-4ec3-bc4f-292642be8f53.png?resizew=217)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-11-04更新
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2卷引用:江苏省常州市联盟学校2023-2024学年高三上学期10月学情调研数学试题
名校
解题方法
2 . 油纸伞是中国传统工艺品,至今已有1000多年的历史,为宣传和推广这一传统工艺,北京市文化宫开展油纸伞文化艺术节.活动中,某油纸伞撑开后摆放在户外展览场地上,如图所示,该伞伞沿是一个半径为2的圆,圆心到伞柄底端距离为2,当阳光与地面夹角为60°时,在地面形成了一个椭圆形影子,且伞柄底端正好位于该椭圆的长轴上,若该椭圆的离心率为
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/b1045f6a-9702-4e1d-af8f-1a2188fe8f39.png?resizew=455)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/b1045f6a-9702-4e1d-af8f-1a2188fe8f39.png?resizew=455)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-10-30更新
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3卷引用:江苏省常州市第一中学2022-2023学年高三上学期12月调研考试数学试题
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3 . 设函数
下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e566d4fe233cb44f8c83634fd5513cd.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2022-10-28更新
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2卷引用:江苏省常州市八校2023届高三上学期10月联考数学试题
名校
解题方法
4 . 如图,在锐角
中,角A,B,C的对边分别为a,b,c,已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/17/bdae2ae0-fff2-4895-9b2a-c6b5e188820c.png?resizew=221)
(1)求
面积的最大值;
(2)若
边上的点D满足
,求线段
长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15701143dfff7a4c89144a2650610444.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/17/bdae2ae0-fff2-4895-9b2a-c6b5e188820c.png?resizew=221)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0f624223d34fdd270f93b514bdbe5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2022-10-16更新
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2卷引用:江苏省常州市金坛区2022-2023学年高三上学期阶段性质量检测一数学试题
解题方法
5 . 设
边a,b,c所对的角分别为A,B,C,若
的面积为
,则以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1f724a55b9eb58235bd1d9865a25c2.png)
A.![]() |
B.![]() |
C.角C的最大值为![]() |
D.![]() ![]() |
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解题方法
6 . 已知函数
的图象在
处的切线方程为
,
的三个顶点A,B,C在曲线
上,且顶点B的位置在顶点A和C之间,则以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895faeee1010f693fa376ccca28c42bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979afa58629eb4b8995097bdb73bedaa.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.![]() |
D.![]() |
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7 . 已知函数
,选项中的
,则结论不正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32431242e351dbb7e7518540acb98a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a173784888adf2946382fa093ba53a.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.把![]() ![]() |
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名校
8 . 已知函数
的部分图象如图所示,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/d0c4b6fa-7a28-45ce-91b5-b06c7ab756ce.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89612ff74f6ffff6fd19161ce9388f32.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/d0c4b6fa-7a28-45ce-91b5-b06c7ab756ce.png?resizew=212)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() |
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2022-10-14更新
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571次组卷
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4卷引用:江苏省常州市金坛区金沙高级中学2022-2023学年高三上学期12月质量检测数学试题
9 . 在单位圆
上任取一点
,圆
与
轴正向的交点是
,设将
绕原点
逆时针旋转到
所成的角为
,记
关于
的表达式分别为
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a17989b3fb8c1a98f3597641e253ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b3f819d6c74834663c25fd330da21a.png)
A.![]() ![]() |
B.![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.函数![]() ![]() |
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10 . 法国数学家费马被称为业余数学之王,很多数学定理以他的名字命名.对
而言,若其内部的点
满足
,则称
为
的费马点.在
中,已知
,设
为
的费马点,且满足
,
.则
的外接圆半径长为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fd1066cf8552f50c52beed433f69c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73152c2b4298298c8b81dc16dc21f5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa3a6cbbb3f384c7cb91ec88c072ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4234cf4d8159f5df0333bcc269ffe099.png)
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